Answer:
[tex]\frac{11}{6}[/tex] units
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
6x² - 7x - 3 = 0 ← in standard form
(3x + 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Find the difference of the 2 x- intercepts using absolute value
distance = | [tex]\frac{3}{2}[/tex] - (- [tex]\frac{1}{3}[/tex] ) | = | [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{3}[/tex] | = | [tex]\frac{11}{6}[/tex] | = [tex]\frac{11}{6}[/tex]
